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Finding the Fourth Proportional to 3,305.10, 4,560.81 and 1,978.32

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Solution

The fourth proportional to 3,305.10, 4,560.81 and 1,978.32 is: 2,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.10 : 4,560.81 = 1,978.32 : x
  2. Step 2: Convert to fraction form
    3,305.10/4,560.81 = 1,978.32/x
  3. Step 3: Cross multiply
    3,305.10x = 4,560.81 × 1,978.32
  4. Step 4: Simplify right side
    3,305.10x = 9,022,751.32
  5. Step 5: Solve for x
    x = 9,022,751.32/3,305.10
  6. Step 6: Final answer
    x = 2,729.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.